{"id":"https://openalex.org/W1493967655","doi":"https://doi.org/10.1007/3-540-51498-8_4","title":"Generalized Boolean hierarchies and Boolean hierarchies over RP","display_name":"Generalized Boolean hierarchies and Boolean hierarchies over RP","publication_year":1989,"publication_date":"1989-01-01","ids":{"openalex":"https://openalex.org/W1493967655","doi":"https://doi.org/10.1007/3-540-51498-8_4","mag":"1493967655"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-51498-8_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-51498-8_4","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109187092","display_name":"Alberto Bertoni","orcid":null},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Alberto Bertoni","raw_affiliation_strings":["Universit\u00e0 degli Studi di Milano, Italy","Universit\u00e0 degli Studi di Milano"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Milano, Italy","institution_ids":["https://openalex.org/I189158943"]},{"raw_affiliation_string":"Universit\u00e0 degli Studi di Milano","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105127477","display_name":"Danilo Bruschi","orcid":null},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Danilo Bruschi","raw_affiliation_strings":["University of Wisconsin, USA","Universit\u00e0 degli Studi di Milano, Italy","University of Wisconsin","Universit\u00e0 degli Studi di Milano"],"affiliations":[{"raw_affiliation_string":"University of Wisconsin, USA","institution_ids":[]},{"raw_affiliation_string":"Universit\u00e0 degli Studi di Milano, Italy","institution_ids":["https://openalex.org/I189158943"]},{"raw_affiliation_string":"University of Wisconsin","institution_ids":[]},{"raw_affiliation_string":"Universit\u00e0 degli Studi di Milano","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113061663","display_name":"Deborah Joseph","orcid":null},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Deborah Joseph","raw_affiliation_strings":["University of Wisconsin, USA","University of Wisconsin \u2013,"],"affiliations":[{"raw_affiliation_string":"University of Wisconsin, USA","institution_ids":[]},{"raw_affiliation_string":"University of Wisconsin \u2013,","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089647969","display_name":"Meera Sitharam","orcid":"https://orcid.org/0000-0003-1031-1403"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Meera Sitharam","raw_affiliation_strings":["University of Wisconsin, USA","University of Wisconsin \u2013,"],"affiliations":[{"raw_affiliation_string":"University of Wisconsin, USA","institution_ids":[]},{"raw_affiliation_string":"University of Wisconsin \u2013,","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032573238","display_name":"Paul R. Young","orcid":"https://orcid.org/0000-0002-3707-2441"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul Young","raw_affiliation_strings":["University of Washington, USA","University of Wisconsin, USA","University of Wisconsin","University of Washington"],"affiliations":[{"raw_affiliation_string":"University of Washington, USA","institution_ids":["https://openalex.org/I201448701"]},{"raw_affiliation_string":"University of Wisconsin, USA","institution_ids":[]},{"raw_affiliation_string":"University of Wisconsin","institution_ids":[]},{"raw_affiliation_string":"University of Washington","institution_ids":["https://openalex.org/I201448701"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5109187092"],"corresponding_institution_ids":["https://openalex.org/I189158943"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.3004,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.85395849,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"35","last_page":"46"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.5104454755783081},{"id":"https://openalex.org/keywords/standard-boolean-model","display_name":"Standard Boolean model","score":0.4828563332557678},{"id":"https://openalex.org/keywords/product-term","display_name":"Product term","score":0.4732568562030792},{"id":"https://openalex.org/keywords/and-inverter-graph","display_name":"And-inverter graph","score":0.4708133637905121},{"id":"https://openalex.org/keywords/boolean-model","display_name":"Boolean model","score":0.42864933609962463},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4200133681297302},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4193147122859955},{"id":"https://openalex.org/keywords/two-element-boolean-algebra","display_name":"Two-element Boolean algebra","score":0.3912317156791687},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38582223653793335},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.3682246506214142},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.23166075348854065},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2238774299621582},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15361103415489197}],"concepts":[{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.5104454755783081},{"id":"https://openalex.org/C68481662","wikidata":"https://www.wikidata.org/wiki/Q176197","display_name":"Standard Boolean model","level":5,"score":0.4828563332557678},{"id":"https://openalex.org/C9429942","wikidata":"https://www.wikidata.org/wiki/Q1781698","display_name":"Product term","level":5,"score":0.4732568562030792},{"id":"https://openalex.org/C196836630","wikidata":"https://www.wikidata.org/wiki/Q4753279","display_name":"And-inverter graph","level":4,"score":0.4708133637905121},{"id":"https://openalex.org/C67499762","wikidata":"https://www.wikidata.org/wiki/Q4943358","display_name":"Boolean model","level":2,"score":0.42864933609962463},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4200133681297302},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4193147122859955},{"id":"https://openalex.org/C207764348","wikidata":"https://www.wikidata.org/wiki/Q7858706","display_name":"Two-element Boolean algebra","level":4,"score":0.3912317156791687},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38582223653793335},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.3682246506214142},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.23166075348854065},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2238774299621582},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15361103415489197},{"id":"https://openalex.org/C169171071","wikidata":"https://www.wikidata.org/wiki/Q5449241","display_name":"Filtered algebra","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-51498-8_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-51498-8_4","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W57269202","https://openalex.org/W107091482","https://openalex.org/W188658464","https://openalex.org/W1493967655","https://openalex.org/W1505211902","https://openalex.org/W1523922893","https://openalex.org/W1560512928","https://openalex.org/W1603231473","https://openalex.org/W1752076080","https://openalex.org/W1920818137","https://openalex.org/W1964053266","https://openalex.org/W1967159037","https://openalex.org/W1980291956","https://openalex.org/W1993138363","https://openalex.org/W1998777945","https://openalex.org/W2010937503","https://openalex.org/W2011358434","https://openalex.org/W2031174906","https://openalex.org/W2036095420","https://openalex.org/W2037038460","https://openalex.org/W2037320888","https://openalex.org/W2037690423","https://openalex.org/W2041517264","https://openalex.org/W2042291172","https://openalex.org/W2062767125","https://openalex.org/W2078999165","https://openalex.org/W2080132708","https://openalex.org/W2087237939","https://openalex.org/W2090039116","https://openalex.org/W2131798840","https://openalex.org/W2136500328","https://openalex.org/W2140778396","https://openalex.org/W2168714844","https://openalex.org/W4250826358","https://openalex.org/W6658254091","https://openalex.org/W6666256686","https://openalex.org/W6671704992","https://openalex.org/W6684637589"],"related_works":["https://openalex.org/W2986911904","https://openalex.org/W4312990447","https://openalex.org/W4238177654","https://openalex.org/W2112641792","https://openalex.org/W4237556422","https://openalex.org/W4205628838","https://openalex.org/W2044916592","https://openalex.org/W4206073549","https://openalex.org/W2184010066","https://openalex.org/W2465207115"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
